288898725049 has 27 divisors (see below), whose sum is σ = 320852575407. Its totient is φ = 259931614800.

The previous prime is 288898725019. The next prime is 288898725113. The reversal of 288898725049 is 940527898882.

The square root of 288898725049 is 537493.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 157033875625 + 131864849424 = 396275^2 + 363132^2 .

It is not a de Polignac number, because 288898725049 - 2²⁵ = 288865170617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288898725019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 774527227 + ... + 774527599.

Almost surely, 2^288898725049 is an apocalyptic number.

288898725049 is the 537493-rd square number.

288898725049 is the 268747-th centered octagonal number.

It is an amenable number.

288898725049 is a deficient number, since it is larger than the sum of its proper divisors (31953850358).

288898725049 is an frugal number, since it uses more digits than its factorization.

288898725049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 70.

The spelling of 288898725049 in words is "two hundred eighty-eight billion, eight hundred ninety-eight million, seven hundred twenty-five thousand, forty-nine".